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Finding the Fourth Proportional to 5,235.29, 7,842.65 and 3,039.42

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Solution

The fourth proportional to 5,235.29, 7,842.65 and 3,039.42 is: 4,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.29 : 7,842.65 = 3,039.42 : x
  2. Step 2: Convert to fraction form
    5,235.29/7,842.65 = 3,039.42/x
  3. Step 3: Cross multiply
    5,235.29x = 7,842.65 × 3,039.42
  4. Step 4: Simplify right side
    5,235.29x = 23,837,092.07
  5. Step 5: Solve for x
    x = 23,837,092.07/5,235.29
  6. Step 6: Final answer
    x = 4,553.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.